Geodesic
The optimal constants in Khintchine’s inequality for the case $2 p 3$
Olaf Mordhorst1
1 Mathematisches Seminar Christian-Albrechts-Universität zu Kiel Ludewig-Meyn-Str. 4 D-24118 Kiel, Germany
Colloquium Mathematicum, Tome 147 (2017) no. 2, pp. 203-216.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

A main step in Haagerup’s proof for the optimal constants in Khintchine’s inequality is to show integral inequalities of the type $\int (g^s-f^s) \,d \mu \geq 0$. In 2000, F. L. Nazarov and A. N. Podkorytov made Haagerup’s proof much more clear for the case $0 \lt p \lt 2$ by using a lemma on distribution functions. In this article we treat the case $2 \lt p \lt 3$ with their technique.
DOI : 10.4064/cm6861-7-2016
Keywords: main step haagerup proof optimal constants khintchine inequality integral inequalities type int s f geq nbsp nbsp nazarov nbsp nbsp podkorytov made haagerup proof much clear using lemma distribution functions article treat their technique

Olaf Mordhorst 1

1 Mathematisches Seminar Christian-Albrechts-Universität zu Kiel Ludewig-Meyn-Str. 4 D-24118 Kiel, Germany 
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Olaf Mordhorst. The optimal constants in Khintchine’s inequality for the case $2 < p < 3$. Colloquium Mathematicum, Tome 147 (2017) no. 2, pp. 203-216. doi : 10.4064/cm6861-7-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6861-7-2016/

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